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      Question

      The lateral surface area of a cube is 144 cm . The

      length of a cuboid is 50% more than the side of the cube. The breadth of the cuboid is 5 cm less than its length and 20% less than its height. Find the total surface area of the cuboid.
      A 200 cm^2 Correct Answer Incorrect Answer
      B 204 cm^2 Correct Answer Incorrect Answer
      C 202 cm^2 Correct Answer Incorrect Answer
      D 206 cm^2 Correct Answer Incorrect Answer
      E 210 cm^2 Correct Answer Incorrect Answer

      Solution

      Let the length of the cube be ‘a’ cm
      According to the question,
      4a2 = 144
      => a2 = 36
      => a = 6
      Therefore, length of the cuboid = l = 1.5 × 6 = 9 cm
      Breadth of the cuboid = b = 9 – 5 = 4 cm
      Height of the cuboid = h = 4/0.8 = 5 cm
      Therefore, total surface area of the cuboid = 2(lb + bh + lh) = 2 × {(9 × 4) + (4 × 5) + (9 × 5)} = 202 cm2

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